we have authentication for both Trac and Gerrit instance inside my employer's network ONLY by Kerberos. I don't have a password at all. Is it possible to authenticate to both of these services via Kerberos with Mylyn, or I am out of luck with Eclipse? If it is possible, how to do it (all forms require filled in password and Validate doesn't seem to understand that I have a valid ticket for the service).

If it is not possible, is there a RFE bug for this at bugzilla.eclipse.org?

I'm afraid this is not possible and I haven't found any bug (any feature request) for it in Bugzilla.

Feel free to file one, but keep in mind this doesn't quite fall into the core scope of the project and due to time constraints we are unable to resolve it at the moment. Having said that, we would be happy to support a community contribution to resolve it.